Finding the Third Proportional to 8,091 and 17,693

Step by Step Solution

1. Step 1: Write the proportion equation
   8,091 : 17,693 = 17,693 : x
2. Step 2: Convert to fraction form
   8,091/17,693 = 17,693/x
3. Step 3: Cross multiply
   8,091x = 17,693 × 17,693
4. Step 4: Simplify right side
   8,091x = 313,042,249
5. Step 5: Solve for x
   x = 313,042,249/8,091
6. Step 6: Final answer
   x = 38,690.18